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Conditions that permit the assembly of metal–oxygen isopolyhedra into fullerene topologies favor the hexagonal bipyramid as the basic building unit. Uranyl hexagonal bipyramids containing two peroxide edges have been used to create a cage cluster with a fullerene topology containing 50 polyhedra (see picture), as well as cage cluster of 40 polyhedra that contains topological squares, pentagons, and hexagons.
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Forbes et al. (2008) studied this question.
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